1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Artyom0805 [142]
3 years ago
5

Vertex form of x^2+6x+3

Mathematics
1 answer:
Anastasy [175]3 years ago
8 0

Answer:

y = (x + 3)^2 - 6.

Step-by-step explanation:

The vertex formula is Y = a(x - h)^2 + k.

To find the vertex formula, we need to find h and k, by finding the vertex of x^2 + 6x + 3.

h = -b/2a

a = 1, b = 6.

h = -6 / 2 * 1 = -6 / 2 = -3

k = (-3)^2 + 6(-3) + 3 = 9 - 18 + 3 = -9 + 3 = -6

So far, we have Y = a(x - (-3))^2 + -6, so y = a(x + 3)^2 - 6.

In this case, the coefficient of x^2 of the given formula is 1, which means that a will be 1.

The vertex form of x^2 + 6x + 3 is y = (x + 3)^2 - 6.

To check our work...

y = (x + 3)^2 - 6

= x^2 + 3x + 3x + 9 - 6

= x^2 + 6x + 3

Hope this helps!

You might be interested in
I need this answer asap
antoniya [11.8K]

Answer:

240

Step-by-step explanation:

5 0
3 years ago
Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.
dedylja [7]

g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).

Which means that our equation for f(x) is:

\large{f(x) = x}

Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.

\large{f(x + k) = x + k }\\  \large{g(x) = x + k}

Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.

\large{g(x) = x + 4}

Answer

  • g(x) = x+4
  • Therefore the value of k is 4.
3 0
3 years ago
Simplify -2a(7a^5-5a+5)
olga_2 [115]
Here here here here here here here

3 0
2 years ago
Which one is greater 3/10 or 2/5
Andreyy89

Answer:

2/5

Step-by-step explanation:

2/5=4/10

4 0
2 years ago
Read 2 more answers
PLEASE HELP!! 25 POINTS!! WILL MARK BRAINLIEST!!
Strike441 [17]

Answer:The equation of the parabola is y=18(x−2)2−3

4 0
2 years ago
Other questions:
  • HELLO PLEASE HELP ME LAST ONE PLEASE. THANK YOU GIVE YOU A GOOD POINTS OR MARK AS BRAINLIEST
    9·2 answers
  • An arithmetic sequence is shown below. 10, 7, 4, 1, – 2, ... Which function describes the value of the nth term in the sequence?
    11·1 answer
  • Simplify (2/9)^3 please
    9·1 answer
  • Help numbers 3 pleaaaaaassssseeee
    6·2 answers
  • ben has 165 pictures he puts 6 pictures on each page of a photo album. how many pages of the album did ben fill? how many pages
    5·2 answers
  • The city of Joyville has 87,388 residents round the number of people who live in joyville
    15·2 answers
  • Please help me with this question and explain it
    10·1 answer
  • PLEASE HURRY AM TIMED<br> 3 1/3÷1 1/4 to the nearest whole number.
    15·2 answers
  • (Due in 20 minutes!)
    10·1 answer
  • 2ⁿ+2ⁿ+2ⁿ+2ⁿ=2¹⁶<br>value of n?​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!